Ohm's Law

Click or Tap the Example circuits below to invoke TINACloud and select the Interactive DC mode to Analyze them Online.
Get a low cost access to TINACloud to edit the examples or create your own circuits

THREE PHASE NETWORKS

SERIES CONNECTED RESISTORS

The magnitude of current flowing in a circuit is dependent upon both voltage and resistance. The relationship among these three electrical properties (current, voltage and resistance) is the important and well-known Ohm’s law, which states that the current flow in a circuit is directly proportional to the applied source voltage and inversely proportional to the resistance of the circuit.

In mathematical form:

In the following examples, we generally give three solutions for each problem.

Numerical solution by TINA
Solution by TINA’s Interpreter, using Ohm’s law
Solution by formulas using Ohm’s law

Example 1

Using Ohm’s law:

The calculated currents confirm that current is directly proportional to the source voltage.

{Using TINA’s Interpreter}
I1:=VS1/R1;
I1=[2.5]
I2:=VS2/R1;
I2=[5]
I3:=VS3/R1;
I3=[10]

#Solution by Python
I1=VS1/R1
I2=VS2/R1
I3=VS3/R1
print(I1,I2,I3)

Example 2

In the following example, you can verify that the current is inversely proportional to the resistance.

Using Ohm’s law:

{Using TINA’s Interpreter}
I1:=VS/R1;
I1=[5m]
I2:=VS/R2;
I2=[10m]
I3:=VS/R3;
I3=[2.5m]

#Solution by Python
I1=VS/R1
I2=VS/R2
I3=VS/R3
print(I1,I2,I3)

Example 3

In this example, you can see that the voltage across a resistor is directly proportional to the value of its resistance.

While the detailed formula isn’t shown, it is used in TINA’s Interpreter to evaluate the example.

{Using TINA’s Interpreter}
V1:=IS1*R1;
V1=[10]
V2:=IS1*R2;
V2=[20]
V3:=IS1*R3;
V3=[30]

#Solution by Python
V1=IS1*R1
V2=IS1*R2
V3=IS1*R3
print(V1,V2,V3)

Example 4

In this example, you can check that the voltage across a resistor is directly proportional to the current flowing through the resistor and to the resistor’s resistance.